Question

Solve by method of elimination by equating coefficients. (A)2x+3y=7 and. 3x-y=5​

Answer 1

Answer:

x = 2 , y = 1

Step-by-step explanation:

given,

  2x + 3y = 7 -----(1)

  3x - y = 5  -----(2)

________________

multiplying equation -- (2) with 3 [because any one variable should eliminate]

2x + 3y = 7

3x - y = 5    x(3)  

then,

2x + 3y = 7 -------(1)

9x - 3y =  15 -------(3)    [in equation (1) +3y and equation (2) -3y get cancelled]                                  

___________

11x = 22

x = 22/11

x = 2.

taking x = 2, in equation (2)

3x - y = 5

3(2) - y = 5

6 - y = 5

y = 1

conclusion,

       By elimination method ,  x = 2, y = 1.